Non-Unique Factorizations¶
Geroldinger, & Halter-Koch. (2006). Non-Unique Factorizations: Algebraic, Combinatorial and Analytic Theory. CRC Press.
Cited by¶
1 citation across 1 artifact.
Each citation links to the sentence it supports in the citing article.
Domain-specific¶
- Zero-Sum Problem
- The same apparatus supports direct extremal problems, inverse classification, weighted variants, zero-sum Ramsey questions, and applications to non-unique factorization: the monoid of zero-sum sequences over a class group models relations among factorization classes
This sourceFor the clause after the colon — the monoid of zero-sum sequences over a class group as the model for factorization relations — and for the direct and inverse extremal problems; weighted variants and zero-sum Ramsey questions lie outside this book. For the transfer principle: a Krull monoid with finite class group in which every class contains a prime divisor transfers to the monoid of zero-sum sequences over that group, whose atoms are precisely the minimal zero-sum sequences.
Supported in partVerified against the source
- The same apparatus supports direct extremal problems, inverse classification, weighted variants, zero-sum Ramsey questions, and applications to non-unique factorization: the monoid of zero-sum sequences over a class group models relations among factorization classes
Verification¶
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